Large sums of high order characters II

Alexander P. Mangerel, Yichen You

Let $\ddot{I}‡$ be a primitive character modulo $q$, and let $\hat{I}´>0$. Assuming that $\ddot{I}‡$ has large order $d$, for any $d$th root of unity $\hat{I}\pm$ we obtain non-trivial upper bounds for the n…